4 1. Find the slope of the line passing between the points (a) (2, 1), (4, 5) (b) (4.8, 3.1), (5.2, 1.6) 2. Find an equation of the line that passes through the following given points and their respective slopes, then sketch the line (a) (3, 6), m = 2 1 (b) (8, 2), m = 4 3. Find an equation of the line that passes through the following pairs of points. (a) (8, 1), (8, 7) 2 ) (b) (1, 1), (6, 3 4. Determine if the lines of these two equations are parallel, perpendicular, or neither y = 4x 1 y = 4x + 7 5. If possible, evaluate the following functions at each specified value of the independent value of the independent variable, then simplify (a) g(t) = 4t2 3t + 5 (A) g(2) (B) g(t - 2) (C) g(t) - g(2) (b) f (x) = x + 8 + 2 (A) f(-8) (B) f(1) (C) f(x - 8) 4 5x (c) f (x) = 0 2 x +1 (A) f(-3) (B) f(4) x 2 2 < x < 2 x2 (C) f(-1) 1 6. Find what value(s) of x make the f(x) = g(x) f (x) = x4 2x2 g(x) = 2x2 7. Find the domain of the following functions (a) g(x) = 1 2x2 (b) g(y) = y 10 10 (c) h(x) = 2 x 2x 2